It has been conjectured that the groups of homological dimension one are precisely the nontrivial locally free groups. Some algebraic, geometric and analytic properties of any potential counter example to the conjecture are discussed
AbstractThis paper gives some new examples in the 1-cohomology theory of finite groups of Lie type, ...
We define a homological and cohomological dimension of groups in the context of Bredon homology and ...
Garoufalidis and Levine introduced the homology cobordism group of homology cylinders over a surface...
It has been conjectured that the groups of homological dimension one are precisely the nontrivial lo...
We report on recent work concerning groups of homological dimension one and detail some methods that...
We argue that the geometric dimension of a discrete group G ought to be defined to be the minimal di...
AbstractWe show that a group G is locally finite if and only if Tor1ZG(M,I)=0 for all ZG-modules M a...
The objects of interest in this thesis are classifying spaces EFG for discrete groups G with stabili...
This dissertation addresses three aspects of cohomological dimension of metric spaces with respect t...
AbstractThe classical homological dimensions—the projective, flat, and injective ones—are usually de...
AbstractGeneralising the main results from [F. Grunewald, A. Jaikin, A. Pinto, P. Zalesskii, Normal ...
Introduced the homological algebra and presented some interesting basic properties of the notion.In ...
In this paper we prove that the homological dimension of an elementary amenable group over an arbitr...
AbstractThe setting is a proper surjection f:X → Y between metrizable spaces such that each Čech coh...
We exhibit free-by-cyclic groups containing non-free locally-free subgroups, including some word hyp...
AbstractThis paper gives some new examples in the 1-cohomology theory of finite groups of Lie type, ...
We define a homological and cohomological dimension of groups in the context of Bredon homology and ...
Garoufalidis and Levine introduced the homology cobordism group of homology cylinders over a surface...
It has been conjectured that the groups of homological dimension one are precisely the nontrivial lo...
We report on recent work concerning groups of homological dimension one and detail some methods that...
We argue that the geometric dimension of a discrete group G ought to be defined to be the minimal di...
AbstractWe show that a group G is locally finite if and only if Tor1ZG(M,I)=0 for all ZG-modules M a...
The objects of interest in this thesis are classifying spaces EFG for discrete groups G with stabili...
This dissertation addresses three aspects of cohomological dimension of metric spaces with respect t...
AbstractThe classical homological dimensions—the projective, flat, and injective ones—are usually de...
AbstractGeneralising the main results from [F. Grunewald, A. Jaikin, A. Pinto, P. Zalesskii, Normal ...
Introduced the homological algebra and presented some interesting basic properties of the notion.In ...
In this paper we prove that the homological dimension of an elementary amenable group over an arbitr...
AbstractThe setting is a proper surjection f:X → Y between metrizable spaces such that each Čech coh...
We exhibit free-by-cyclic groups containing non-free locally-free subgroups, including some word hyp...
AbstractThis paper gives some new examples in the 1-cohomology theory of finite groups of Lie type, ...
We define a homological and cohomological dimension of groups in the context of Bredon homology and ...
Garoufalidis and Levine introduced the homology cobordism group of homology cylinders over a surface...